Finite Group Databasebeta

← Group #11884149

Character table — Group #11884149

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order1222334466666623466666121212121212224466612121212121212121222444446688121212121212121212121212446681212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11111111-1-11111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111-1-11-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1111-1-11-1-11111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111111-1-11
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-11111-111-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111-1-1-1-1111-1-11-1-1111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-1111-1-11-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11-1-1-11-1-1-1-1111111-1-111-1
χ911111111111111-11-1-1-1111-1-11111111-1-1-1-111-1-1-111-1-111-1-11-1-111-1-1-1-1-1-1-1-11-111-1-11-1111-1-1-111111-1-1-1-11-11
χ1011111111111111-11-1-1-1111-1-11111111-1-1-1-111-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-111111-1-11111-11-1
χ1111111111111111-11-1-1-1111-1-1111111-11-1-1-1-1-1-11111-1-111-1-11111111-1-11111-11-1-111-1-111-1-1-1-11-1-1-1-111111-1-1
χ1211111111111111-11-1-1-1111-1-1111111-11-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-11111-11-1-111-11-1-11-1111-1-111-1-1-1-1-111
χ1311111111111111-11-1-1-1111-1-11111-1-11-1-1-1-111-1-1-111-1-11111-111-1-1-1-11111111-111-1-1-1-11111-1-1-1-1-111-1-111-11-1
χ1411111111111111-11-1-1-1111-1-11111-1-11-1-1-1-111-1-1-111-1-1-1-111-111-1-1111111111-111-1-1-11-1-1-1111-1-1-1-1-111-1-11-11
χ1511111111111111-11-1-1-1111-1-11111-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-11111-1-1-1-1-11-1-1111-111-11-1-1-111-1-111-1-1-111
χ1611111111111111-11-1-1-1111-1-11111-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-11111-11111-1-1111-1-1
χ17222222-2-222222222-222222-2-2-2-2-2-2220022200-200-2-2-2-2002-2-200220022000000000000000-200-200000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-20022200-200-2-2-2-200-22200-2-200-2-2000000000000000200200000000000
χ19222222-2-2222222-222-2-222222-2-2-2-22200-2-2-200200-2-22200-22-2002200-2-2000000000000000200-200000000000
χ20222222-2-2222222-222-2-222222-2-2-2-2-2-200-2-2-200200-2-222002-2200-2-20022000000000000000-200200000000000
χ2122222-122-1-122-122-1222-1-1-1-1-122-1-10022-1-1-122222-1-1-1-122000000022000000-1-1-1-1-1-102-1-120-1-1000-1-1-1-100000
χ2222222-122-1-122-122-1222-1-1-1-1-122-1-10022-1-1-122222-1-1-1-1-2-20000000-2-2000000-1-1-1-1-1-10-211-2011000111100000
χ2322222-122-1-122-122-1222-1-1-1-1-122-1-100-2-2-1-1-1-2-22-2-2-1-1-1-1220000000-2-200000011111102-1-1-20-1-1000111100000
χ2422222-122-1-122-122-1222-1-1-1-1-122-1-100-2-2-1-1-1-2-22-2-2-1-1-1-1-2-20000000220000001111110-2112011000-1-1-1-100000
χ2522222-122-1-122-12-2-1-2-2-2-1-1-11122-1-1002-211122-2-2-2-1-111220000000-2-2000000-11-1-1110-2-1-12011000-1-11100000
χ2622222-122-1-122-12-2-1-2-2-2-1-1-11122-1-1002-211122-2-2-2-1-111-2-2000000022000000-11-1-1110211-20-1-100011-1-100000
χ2722222-122-1-122-12-2-1-2-2-2-1-1-11122-1-100-22111-2-2-222-1-111220000000220000001-111-1-10-2-1-1-201100011-1-100000
χ2822222-122-1-122-12-2-1-2-2-2-1-1-11122-1-100-22111-2-2-222-1-111-2-20000000-2-20000001-111-1-1021120-1-1000-1-11100000
χ292222-122222-1-12-12-12-1-1-1-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1-10022222-1-100-1-1-1-1-1-122-1-1-1-120000-100-1-1-1000000000
χ302222-122222-1-12-12-12-1-1-1-1-122-1-12222-2-22-1-111-111-1-1-1-100222-2-2-1-100-1-11111-2-21111-20000-100-111000000000
χ312222-122222-1-12-12-12-1-1-1-1-122-1-122-2-2222-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2110011111122-1-1-1-1-20000100111000000000
χ322222-122222-1-12-12-12-1-1-1-1-122-1-122-2-2-2-22-1-111-111-1-1-1-100-2-2-222110011-1-1-1-1-2-21111200001001-1-1000000000
χ332222-122222-1-12-1-2-1-211-1-1-1-2-2-1-122222-2-211-1-1111-1-11100-2-22-2-2-1-1001111112-2-1-11120000100-1-1-1000000000
χ342222-122222-1-12-1-2-1-211-1-1-1-2-2-1-12222-22-211111-1-1-1-11100-2-2222-1-10011-1-1-1-1-2211-1-1-20000100-111000000000
χ352222-122222-1-12-1-2-1-211-1-1-1-2-2-1-122-2-22-2-211-1-1111-1-1110022-2221100-1-1-1-1-1-12-2-1-111-20000-100111000000000
χ362222-122222-1-12-1-2-1-211-1-1-1-2-2-1-122-2-2-22-211111-1-1-1-1110022-2-2-21100-1-11111-2211-1-120000-1001-1-1000000000
χ372222-12-2-222-1-12-12-1-2-1-1-1-1-1-2-211-2-222002-1-1−i3i31−i3i31111002-2-200-1-100-1-1−i3−i3i3i300−i3i3−i3i3000001001−i3i3000000000
χ382222-12-2-222-1-12-12-1-2-1-1-1-1-1-2-211-2-222002-1-1i3−i31i3−i31111002-2-200-1-100-1-1i3i3−i3−i300i3−i3i3−i3000001001i3−i3000000000
χ392222-12-2-222-1-12-12-1-2-1-1-1-1-1-2-211-2-2-2-2002-1-1−i3i31−i3i3111100-22200110011i3i3−i3−i300−i3i3−i3i300000-100-1i3−i3000000000
χ402222-12-2-222-1-12-12-1-2-1-1-1-1-1-2-211-2-2-2-2002-1-1i3−i31i3−i3111100-22200110011−i3−i3i3i300i3−i3i3−i300000-100-1−i3i3000000000
χ412222-12-2-222-1-12-1-2-1211-1-1-12211-2-22200-211−i3i3-1i3−i311-1-100-22-200-1-10011i3i3−i3−i300−i3i3i3−i300000-1001−i3i3000000000
χ422222-12-2-222-1-12-1-2-1211-1-1-12211-2-22200-211i3−i3-1−i3i311-1-100-22-200-1-10011−i3−i3i3i300i3−i3−i3i300000-1001i3−i3000000000
χ432222-12-2-222-1-12-1-2-1211-1-1-12211-2-2-2-200-211−i3i3-1i3−i311-1-1002-22001100-1-1−i3−i3i3i300−i3i3i3−i300000100-1i3−i3000000000
χ442222-12-2-222-1-12-1-2-1211-1-1-12211-2-2-2-200-211i3−i3-1−i3i311-1-1002-22001100-1-1i3i3−i3−i300i3−i3−i3i300000100-1−i3i3000000000
χ452-2-2222-22-2-2-2-22202000-2-22002-22-20000000000002-2002-20002-20000002-22-2000000002-2000000000002-2000
χ462-2-2222-22-2-2-2-22202000-2-22002-22-20000000000002-2002-2000-22000000-22-22000000002-200000000000-22000
χ472-2-2222-22-2-2-2-22202000-2-22002-22-20000000000002-200-220002-20000002-22-200000000-2200000000000-22000
χ482-2-2222-22-2-2-2-22202000-2-22002-22-20000000000002-200-22000-22000000-22-2200000000-22000000000002-2000
χ4944444-2-4-4-2-244-244-2-444-2-2-222-4-4220000-2-2-200-40022220000000000000000000000000000000000000000000
χ5044444-2-4-4-2-244-24-4-24-4-4-2-2-2-2-2-4-42200002220040022-2-20000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-20044-211-2-2-2-2-2111100000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200-4-4-21122-22211110000000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-42211122-2-2-2-2004-42-1-1-2-222211-1-100000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-42211122-2-2-2-200-442-1-1222-2-211-1-1000000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000-211−2i32i32−2i32i3-1-1-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000-2112i3−2i322i3−2i3-1-1-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-41422111-2-2222200002-1-1−2i32i3-22i3−2i3-1-1110000000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-41422111-2-2222200002-1-12i3−2i3-2−2i32i3-1-1110000000000000000000−i3i3i3−i300000000000000000000
χ5944-4-444004-44-4-4-4040004-4-40000004-40000000000000000000004-40000000000000000000000000000000000
χ6044-4-444004-44-4-4-4040004-4-4000000-44000000000000000000000-440000000000000000000000000000000000
χ6144-4-4-24004-4-22-420-20−2i32i3-2220000004-4000−2i32i30000000000000000-2200−2i32i3000000000000000000000000000000
χ6244-4-4-24004-4-22-420-20−2i32i3-222000000-44000−2i32i300000000000000002-2002i3−2i3000000000000000000000000000000
χ6344-4-4-24004-4-22-420-202i3−2i3-2220000004-40002i3−2i30000000000000000-22002i3−2i3000000000000000000000000000000
χ6444-4-4-24004-4-22-420-202i3−2i3-222000000-440002i3−2i300000000000000002-200−2i32i3000000000000000000000000000000
χ654-44-44400-44-44-4-404000-44-40000000000000000000000000000000−2i22i20000000000000000000000000−2i22i200000
χ664-44-44400-44-44-4-404000-44-400000000000000000000000000000002i2−2i200000000000000000000000002i2−2i200000
χ674-44-44-2002-2-442-40-20002-2223−2300000000000000000023−23000000000−2i22i200000000000000000000000i6−i6i2−i200000
χ684-44-44-2002-2-442-40-20002-2223−2300000000000000000023−230000000002i2−2i200000000000000000000000−i6i6−i2i200000
χ694-44-44-2002-2-442-40-20002-22−2323000000000000000000−2323000000000−2i22i200000000000000000000000−i6i6i2−i200000
χ704-44-44-2002-2-442-40-20002-22−2323000000000000000000−23230000000002i2−2i200000000000000000000000i6−i6−i2i200000
χ714-4-44444-4-4-4-4-44404000-4-4400-44-44000000000000-44000000000000000000000000000000000000000000000
χ724-4-444-24-422-4-4-240-200022-200-442-20000000000002-20000000000000000000000000000000−2i32i3000000000000
χ734-4-444-24-422-4-4-240-200022-200-442-20000000000002-200000000000000000000000000000002i3−2i3000000000000
χ744-4-444-2-4422-4-4-240-200022-2004-4-22000000000000-22004-400000000000000000000000-220000000000000000
χ754-4-444-2-4422-4-4-240-200022-2004-4-22000000000000-2200-44000000000000000000000002-20000000000000000
χ764-4-44-244-4-4-4224-20-200022-2002-2-440000000000002-2000000000000000−2i32i32i3−2i300000000000000000000000000
χ774-4-44-244-4-4-4224-20-200022-2002-2-440000000000002-20000000000000002i3−2i3−2i32i300000000000000000000000000
χ784-4-44-24-44-4-4224-20-200022-200-224-4000000000000-2200000004-4000000-22-2200000000000000000000000000
χ794-4-44-24-44-4-4224-20-200022-200-224-4000000000000-220000000-440000002-22-200000000000000000000000000
χ8088-8-88-400-448-84-80-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44-4444020−4i34i32-2-2000000000002i3−2i30000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-44440204i3−4i32-2-200000000000−2i32i30000000000000000000000000000000000000000000000000000
χ838-88-8-4800-884-4-840-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-4004-44-44402000-22-243−43000000000000000000−23230000000000000000000000000000000000000000000
χ858-88-8-4-4004-44-44402000-22-2−434300000000000000000023−230000000000000000000000000000000000000000000
χ868-8-88-4-48-84444-4-402000-2-22004-44-4000000000000-22000000000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-402000-2-2200-44-440000000000002-2000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).